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Finding the Fourth Proportional to 312,034.44, 467,627.40 and 131,970.12

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Solution

The fourth proportional to 312,034.44, 467,627.40 and 131,970.12 is: 197,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,034.44 : 467,627.40 = 131,970.12 : x
  2. Step 2: Convert to fraction form
    312,034.44/467,627.40 = 131,970.12/x
  3. Step 3: Cross multiply
    312,034.44x = 467,627.40 × 131,970.12
  4. Step 4: Simplify right side
    312,034.44x = 61,712,844,093.29
  5. Step 5: Solve for x
    x = 61,712,844,093.29/312,034.44
  6. Step 6: Final answer
    x = 197,775.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.